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Finding the Third Proportional to 39,124,420,937 and 84,745,497,919.50

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Solution

The third proportional to 39,124,420,937 and 84,745,497,919.50 is: 183,563,085,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,124,420,937 : 84,745,497,919.50 = 84,745,497,919.50 : x
  2. Step 2: Convert to fraction form
    39,124,420,937/84,745,497,919.50 = 84,745,497,919.50/x
  3. Step 3: Cross multiply
    39,124,420,937x = 84,745,497,919.50 × 84,745,497,919.50
  4. Step 4: Simplify right side
    39,124,420,937x = 7,181,799,417,623,978,442,752
  5. Step 5: Solve for x
    x = 7,181,799,417,623,978,442,752/39,124,420,937
  6. Step 6: Final answer
    x = 183,563,085,296.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.